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1.
An element σ of An, the Alternating group of degree n, is extendible in Sn, the Symmetric group of degree n, if there exists a subgroup H of Sn but not An whose intersection with An is the cyclic group generated by σ. A simple number-theoretic criterion, in terms of the cycle-decomposition, for an element of An to be extendible in Sn is given here. 相似文献
2.
Wayne Barrett Steve Butler H. Tracy Hall John Sinkovic Wasin So Colin Starr Amy Yielding 《Linear algebra and its applications》2012,436(12):4489-4502
We consider the problem of computing inertia sets for graphs. By using tools for combining the inertia sets of smaller graphs we can reduce this problem to understanding the inertia sets for three-connected graphs that are not joins. We term such graphs atoms and give the inertia sets for all atoms on at most seven vertices. This can be used to compute the inertia sets for all graphs on at most seven vertices. 相似文献
3.
We consider cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchy's interlacing inequalities for principal submatrices, Weyl's inequalities for sums, and the residual theorem. Several applications generalize and sharpen known results for eigenvalues of irreducible tridiagonal Hermitian matrices. 相似文献
4.
David K. Ruch Wasin So Jianzhong Wang 《Applied and Computational Harmonic Analysis》1998,5(4):493-498
Multiwavelet decompositions are based on scaling vectors satisfying matrix refinement equations. The support and linear independence of scaling vectors play an essential role in the study of multiwavelets. In this paper we relate these properties with the coefficients in the matrix refinement equation satisfied by the scaling vector. 相似文献
5.
Integral circulant graphs 总被引:2,自引:0,他引:2
Wasin So 《Discrete Mathematics》2006,306(1):153-158
In this note we characterize integral graphs among circulant graphs. It is conjectured that there are exactly 2τ(n)-1 non-isomorphic integral circulant graphs on n vertices, where τ(n) is the number of divisors of n. 相似文献
6.
Three neighbourhoods of zero within which the Campbell-Baker-Hausdorff series for log(exey) converges are compared. Two are large enough to include the unit sphere under a norm compatible with Lie multiplication. 相似文献
7.
Wasin So 《Linear and Multilinear Algebra》1999,46(3):193-198
Characterization of rank one perturbations of symmetric matrices which change only one eigenvalue are given. Then the result is applied to study how the Laplacian spectrum of a graph changes when adding an edge. 相似文献
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9.
The quaternionic numerical range of a matrix with quaternion entries has a convex intersection with the upper half complex plane. The quaternionic analog of the elliptical range theorem is proved. 相似文献
10.
In this paper we describe all possible numbers of (nontrivial) invariant polynomials of the difference of two matrices with prescribed similarity classes over an algebraically closed field. 相似文献